Simplified quantum relativistic models of plasmas have been presented by
e.g. [1]}, [2]}, focusing on the weakly
relativistic regime. Extensions to the strongly relativistic regime has been
made by e.g. Ref. [3]}, [4]}, although certain simplifying
assumptions have been made concerning e.g. the scale lengths of interest.
However, quantum kinetic relativistic model based of the full Dirac equation
are derived in [5]}, [6]}, [7]}, [8]}, [9]}. While these equations
are applicable to plasma dynamics in general, much of the analysis of these
models have been devoted to the phenomena of pair-production in vacuum by
high-intensity fields due to the Schwinger mechanism [10]}, [11]}.
